Yes, but that would either be a fork of OpenSSH, private or open source (both are possible since it's BSD-licensed), or a different SSH server (which Github is of course free to use, since the protocol is standardized and their scale absolutely justifies any efforts in protecting their SSH host key). But GPs comment was about OpenSSH.
Agreed. I have seen some crazy stuff in the payment card industry. I can't recall what I can and can't talk about so I'll just say "Atalla".